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OleS
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For given values of $A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$, how can I find the value of:

$$ \max_{x \in [0,1]^n} \|Ax+b \|_1 $$

Or is this problem NP complete-hard?

For given values of $A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$, how can I find the value of:

$$ \max_{x \in [0,1]^n} \|Ax+b \|_1 $$

Or is this problem NP complete?

For given values of $A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$, how can I find the value of:

$$ \max_{x \in [0,1]^n} \|Ax+b \|_1 $$

Or is this problem NP-hard?

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OleS
  • 23
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For given values of $a_i$, $b_{ji}$ $\in \mathbb{R}$$A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$, how can I find the value of:

$$ \max_{x_j\in [0,1]} \sum_i |a_i + \sum_j x_j b_{ji} | $$$$ \max_{x \in [0,1]^n} \|Ax+b \|_1 $$

Or is this problem NP complete?

For given values of $a_i$, $b_{ji}$ $\in \mathbb{R}$, how can I find the value of:

$$ \max_{x_j\in [0,1]} \sum_i |a_i + \sum_j x_j b_{ji} | $$

Or is this problem NP complete?

For given values of $A \in \mathbb{R}^{m \times n}, b \in \mathbb{R}^m$, how can I find the value of:

$$ \max_{x \in [0,1]^n} \|Ax+b \|_1 $$

Or is this problem NP complete?

Source Link
OleS
  • 23
  • 3

How can I find the maximum value of this function?

For given values of $a_i$, $b_{ji}$ $\in \mathbb{R}$, how can I find the value of:

$$ \max_{x_j\in [0,1]} \sum_i |a_i + \sum_j x_j b_{ji} | $$

Or is this problem NP complete?